POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS
Let E be a vector valued sequence space with operator valued ß- dual EßY. If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of EßY are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in EßY
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200006 |
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oai:scielo:S0716-091720100002000062014-08-14POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALSSwartz,CharlesLet E be a vector valued sequence space with operator valued ß- dual EßY. If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of EßY are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in EßYinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.2 20102010-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200006en10.4067/S0716-09172010000200006 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
Let E be a vector valued sequence space with operator valued ß- dual EßY. If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of EßY are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in EßY |
| author |
Swartz,Charles |
| spellingShingle |
Swartz,Charles POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| author_facet |
Swartz,Charles |
| author_sort |
Swartz,Charles |
| title |
POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| title_short |
POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| title_full |
POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| title_fullStr |
POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| title_full_unstemmed |
POINTWISE BOUNDEDNESS AND EQUICONTINUITY IN ß-DUALS |
| title_sort |
pointwise boundedness and equicontinuity in ß-duals |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2010 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200006 |
| work_keys_str_mv |
AT swartzcharles pointwiseboundednessandequicontinuityinßduals |
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1718439769729400832 |